Rogue waves, classical lump solutions and generalized lump solutions for Sawada–Kotera-like equation
Runfa Zhang, Mingchu Li, Esmail Almosharea, Fu-Chang Zheng, Sudao Bilige
Abstract
In this work, the [Formula: see text]-dimensional Sawada–Kotera-like (SK-like) equation is derived through the generalized bilinear equation from SK equation. By using “3-2” and “3-2-2” neural network models, three trial functions are constructed. Classic lump, generalized lump solutions and new rogue wave solutions are acquired by giving a number of specific parameters. Through a variety of curve plots of three-dimensional contour plotting, these rogue waves are intuitively displayed.
Topics & Concepts
Rogue waveBilinear formBilinear interpolationVariety (cybernetics)Kadomtsev–Petviashvili equationTraveling waveMathematicsWork (physics)One-dimensional spaceApplied mathematicsMathematical physicsMathematical analysisPartial differential equationPhysicsCharacteristic equationNonlinear systemQuantum mechanicsStatisticsNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems